-4y=-64-6x
4x-4y=-36
-4y=-64-6x
y=16+(3x/2)
4x-4y=-36
4x-4(16+(3x/2))=-36
4x-64-6x=-36
-2x=-28
x = 14
4x-4y=-36
4(14)-4y=-36
56-4y=-36
-4y=-92
y = 23
Answer:
Standard Deviation = 3.22
Variance = 10.36
Step-by-step explanation:
x P(x) x × P(x) x² x² × P(x)
19 0.20 3.8 361 72.2
10 0.20 2 100 20
11 0.30 3.3 121 36.3
12 0.20 2.4 144 28.8
13 0.10 1.3 169 16.9
____________________________________________
12.8 174.2 => Total
<em><u>Mean Formula</u></em>
<em><u>Variance Formula</u></em>
![\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2](https://tex.z-dn.net/?f=%5Csigma%20_x%5E2%20%3D%20%5Csum%5Bx%5E2%20%5Ctimes%20P%28x%29%5D%20-%20%5Cmu_x%5E2)
<em><u>Standard Deviation Formula</u></em>
1. D= 500/40
2.D= 125/v
3.80= m/1.4
4.D= m/v
Average speed is the distance traveled by an object in total and divided by the amount of time an object covers the distance. The formula is -
Average speed = total distance traveled / total time taken
= 68km+64km / 2 hrs.+3hrs.
= 132km / 5hrs.
= 26.4km/hr.
Therefore, the train's average speed is 26.4km/hr.
Length (L): 4w + 1
width (w): w
Perimeter (P) = 2L + 2w
62 = 2(4w + 1) + 2(w)
62 = 8w + 2 + 2w
62 = 10w + 2
60 = 10w
6 = w
Length: L = 4w + 1 → 4(6) + 1 → 24 + 1 → 25
Answer: 6 meters x 25 meters
